Table 3: Gas and dynamical masses, potential energy, central gas column density and integrated specific entropy for gas and DM as derived from Sérsic parameters.
Cluster $M_{\rm gas} (\times 10^{14}~M_{\odot})$ $M_{\rm Dyn} (\times 10^{15}~M_{\odot})$ $U_{\rm pot} \times 10^{58}$ (kg m² s^-2) $\Sigma _0$ (kg m^-2) Gas Spec. Entr. DM Spec. Entr.

A85 5.11 $\pm$ 0.41 2.59 $\pm$ 0.35 0.78 $\pm$ 0.20 0.36 $\pm$ 0.01 204.3 $\pm$ 0.18 206.1 $\pm$ 0.91

A478 4.98 $\pm$ 0.56 2.29 $\pm$ 0.35 0.72 $\pm$ 0.21 0.68 $\pm$ 0.03 204.1 $\pm$ 0.24 205.7 $\pm$ 1.00

A644 1.80 $\pm$ 0.13 1.18 $\pm$ 0.16 0.39 $\pm$ 0.10 0.26 $\pm$ 0.01 201.3 $\pm$ 0.15 203.7 $\pm$ 0.87

A1651 2.53 $\pm$ 0.29 1.46 $\pm$ 0.24 0.46 $\pm$ 0.14 0.27 $\pm$ 0.01 202.3 $\pm$ 0.25 204.4 $\pm$ 0.98

A1689 4.11 $\pm$ 0.85 2.35 $\pm$ 0.52 1.05 $\pm$ 0.41 0.65 $\pm$ 0.05 203.3 $\pm$ 0.43 205.3 $\pm$ 1.22

A1795 3.10 $\pm$ 0.20 1.63 $\pm$ 0.20 0.45 $\pm$ 0.10 0.50 $\pm$ 0.01 203.0 $\pm$ 0.14 204.9 $\pm$ 0.88

A2029 6.14 $\pm$ 0.69 3.26 $\pm$ 0.46 1.26 $\pm$ 0.31 0.66 $\pm$ 0.03 204.6 $\pm$ 0.25 206.5 $\pm$ 1.00

A2034 4.44 $\pm$ 0.44 1.79 $\pm$ 0.42 0.64 $\pm$ 0.29 0.23 $\pm$ 0.01 203.1 $\pm$ 0.22 204.6 $\pm$ 0.93

A2052 1.67 $\pm$ 0.38 0.95 $\pm$ 0.21 0.13 $\pm$ 0.05 0.32 $\pm$ 0.02 202.4 $\pm$ 0.49 204.3 $\pm$ 1.31

A2142 5.11 $\pm$ 0.22 2.17 $\pm$ 0.40 0.94 $\pm$ 0.35 0.38 $\pm$ 0.01 203.4 $\pm$ 0.09 205.0 $\pm$ 0.80

A2199 1.27 $\pm$ 0.04 0.86 $\pm$ 0.08 0.18 $\pm$ 0.03 0.28 $\pm$ 0.01 201.2 $\pm$ 0.07 203.5 $\pm$ 0.79

A2219 8.55 $\pm$ 0.85 3.56 $\pm$ 0.75 2.17 $\pm$ 0.89 0.42 $\pm$ 0.01 204.4 $\pm$ 0.22 205.9 $\pm$ 0.94

A2244 3.92 $\pm$ 1.45 3.33 $\pm$ 1.15 1.53 $\pm$ 0.88 0.36 $\pm$ 0.05 203.7 $\pm$ 0.75 206.4 $\pm$ 1.60

A2319 7.45 $\pm$ 0.62 3.64 $\pm$ 0.63 1.79 $\pm$ 0.61 0.26 $\pm$ 0.01 204.5 $\pm$ 0.19 206.4 $\pm$ 0.90

A2382 0.96 $\pm$ 0.01 0.67 $\pm$ 0.11 0.11 $\pm$ 0.03 0.06 $\pm$ 0.01 200.4 $\pm$ 0.22 202.9 $\pm$ 0.91

A2390 9.06 $\pm$ 2.17 3.72 $\pm$ 1.01 1.78 $\pm$ 0.85 0.62 $\pm$ 0.05 205.0 $\pm$ 0.51 206.5 $\pm$ 1.31

A2589 0.97 $\pm$ 0.12 0.73 $\pm$ 0.11 0.13 $\pm$ 0.04 0.15 $\pm$ 0.01 200.6 $\pm$ 0.28 203.2 $\pm$ 1.00

A2597 2.30 $\pm$ 2.14 1.26 $\pm$ 1.13 0.22 $\pm$ 0.49 0.78 $\pm$ 0.52 203.1 $\pm$ 1.69 204.9 $\pm$ 1.94

A2670 2.86 $\pm$ 2.09 2.03 $\pm$ 1.35 0.46 $\pm$ 0.59 0.22 $\pm$ 0.05 203.6 $\pm$ 1.24 206.0 $\pm$ 2.18

A2744 4.00 $\pm$ 0.52 2.20 $\pm$ 0.47 1.36 $\pm$ 0.55 0.26 $\pm$ 0.01 202.3 $\pm$ 0.28 204.4 $\pm$ 0.95

A3266 3.33 $\pm$ 0.11 2.03 $\pm$ 0.31 0.92 $\pm$ 0.28 0.17 $\pm$ 0.01 202.4 $\pm$ 0.07 204.7 $\pm$ 0.77

A3667 6.93 $\pm$ 0.31 2.52 $\pm$ 0.57 0.83 $\pm$ 0.38 0.19 $\pm$ 0.01 204.4 $\pm$ 0.10 205.7 $\pm$ 0.81

A3921 3.53 $\pm$ 0.40 1.34 $\pm$ 0.31 0.29 $\pm$ 0.13 0.17 $\pm$ 0.01 203.1 $\pm$ 0.25 204.5 $\pm$ 0.98

A4059 1.24 $\pm$ 0.20 0.80 $\pm$ 0.14 0.15 $\pm$ 0.05 0.22 $\pm$ 0.01 201.2 $\pm$ 0.34 203.5 $\pm$ 1.09

**Table 3:** Gas and dynamical masses, potential energy, central gas column density and integrated specific entropy for gas and DM as derived from Sérsic parameters.
Cluster	$M_{\rm gas} (\times 10^{14}~M_{\odot})$	$M_{\rm Dyn} (\times 10^{15}~M_{\odot})$	$U_{\rm pot} \times 10^{58}$ (kg m² s^-2)	$\Sigma _0$ (kg m^-2)	Gas Spec. Entr.	DM Spec. Entr.
A85	5.11 $\pm$ 0.41	2.59 $\pm$ 0.35	0.78 $\pm$ 0.20	0.36 $\pm$ 0.01	204.3 $\pm$ 0.18	206.1 $\pm$ 0.91
A478	4.98 $\pm$ 0.56	2.29 $\pm$ 0.35	0.72 $\pm$ 0.21	0.68 $\pm$ 0.03	204.1 $\pm$ 0.24	205.7 $\pm$ 1.00
A644	1.80 $\pm$ 0.13	1.18 $\pm$ 0.16	0.39 $\pm$ 0.10	0.26 $\pm$ 0.01	201.3 $\pm$ 0.15	203.7 $\pm$ 0.87
A1651	2.53 $\pm$ 0.29	1.46 $\pm$ 0.24	0.46 $\pm$ 0.14	0.27 $\pm$ 0.01	202.3 $\pm$ 0.25	204.4 $\pm$ 0.98
A1689	4.11 $\pm$ 0.85	2.35 $\pm$ 0.52	1.05 $\pm$ 0.41	0.65 $\pm$ 0.05	203.3 $\pm$ 0.43	205.3 $\pm$ 1.22
A1795	3.10 $\pm$ 0.20	1.63 $\pm$ 0.20	0.45 $\pm$ 0.10	0.50 $\pm$ 0.01	203.0 $\pm$ 0.14	204.9 $\pm$ 0.88
A2029	6.14 $\pm$ 0.69	3.26 $\pm$ 0.46	1.26 $\pm$ 0.31	0.66 $\pm$ 0.03	204.6 $\pm$ 0.25	206.5 $\pm$ 1.00
A2034	4.44 $\pm$ 0.44	1.79 $\pm$ 0.42	0.64 $\pm$ 0.29	0.23 $\pm$ 0.01	203.1 $\pm$ 0.22	204.6 $\pm$ 0.93
A2052	1.67 $\pm$ 0.38	0.95 $\pm$ 0.21	0.13 $\pm$ 0.05	0.32 $\pm$ 0.02	202.4 $\pm$ 0.49	204.3 $\pm$ 1.31
A2142	5.11 $\pm$ 0.22	2.17 $\pm$ 0.40	0.94 $\pm$ 0.35	0.38 $\pm$ 0.01	203.4 $\pm$ 0.09	205.0 $\pm$ 0.80
A2199	1.27 $\pm$ 0.04	0.86 $\pm$ 0.08	0.18 $\pm$ 0.03	0.28 $\pm$ 0.01	201.2 $\pm$ 0.07	203.5 $\pm$ 0.79
A2219	8.55 $\pm$ 0.85	3.56 $\pm$ 0.75	2.17 $\pm$ 0.89	0.42 $\pm$ 0.01	204.4 $\pm$ 0.22	205.9 $\pm$ 0.94
A2244	3.92 $\pm$ 1.45	3.33 $\pm$ 1.15	1.53 $\pm$ 0.88	0.36 $\pm$ 0.05	203.7 $\pm$ 0.75	206.4 $\pm$ 1.60
A2319	7.45 $\pm$ 0.62	3.64 $\pm$ 0.63	1.79 $\pm$ 0.61	0.26 $\pm$ 0.01	204.5 $\pm$ 0.19	206.4 $\pm$ 0.90
A2382	0.96 $\pm$ 0.01	0.67 $\pm$ 0.11	0.11 $\pm$ 0.03	0.06 $\pm$ 0.01	200.4 $\pm$ 0.22	202.9 $\pm$ 0.91
A2390	9.06 $\pm$ 2.17	3.72 $\pm$ 1.01	1.78 $\pm$ 0.85	0.62 $\pm$ 0.05	205.0 $\pm$ 0.51	206.5 $\pm$ 1.31
A2589	0.97 $\pm$ 0.12	0.73 $\pm$ 0.11	0.13 $\pm$ 0.04	0.15 $\pm$ 0.01	200.6 $\pm$ 0.28	203.2 $\pm$ 1.00
A2597	2.30 $\pm$ 2.14	1.26 $\pm$ 1.13	0.22 $\pm$ 0.49	0.78 $\pm$ 0.52	203.1 $\pm$ 1.69	204.9 $\pm$ 1.94
A2670	2.86 $\pm$ 2.09	2.03 $\pm$ 1.35	0.46 $\pm$ 0.59	0.22 $\pm$ 0.05	203.6 $\pm$ 1.24	206.0 $\pm$ 2.18
A2744	4.00 $\pm$ 0.52	2.20 $\pm$ 0.47	1.36 $\pm$ 0.55	0.26 $\pm$ 0.01	202.3 $\pm$ 0.28	204.4 $\pm$ 0.95
A3266	3.33 $\pm$ 0.11	2.03 $\pm$ 0.31	0.92 $\pm$ 0.28	0.17 $\pm$ 0.01	202.4 $\pm$ 0.07	204.7 $\pm$ 0.77
A3667	6.93 $\pm$ 0.31	2.52 $\pm$ 0.57	0.83 $\pm$ 0.38	0.19 $\pm$ 0.01	204.4 $\pm$ 0.10	205.7 $\pm$ 0.81
A3921	3.53 $\pm$ 0.40	1.34 $\pm$ 0.31	0.29 $\pm$ 0.13	0.17 $\pm$ 0.01	203.1 $\pm$ 0.25	204.5 $\pm$ 0.98
A4059	1.24 $\pm$ 0.20	0.80 $\pm$ 0.14	0.15 $\pm$ 0.05	0.22 $\pm$ 0.01	201.2 $\pm$ 0.34	203.5 $\pm$ 1.09

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